Finding the Third Proportional to 172,884 and 359,538

Step by Step Solution

1. Step 1: Write the proportion equation
   172,884 : 359,538 = 359,538 : x
2. Step 2: Convert to fraction form
   172,884/359,538 = 359,538/x
3. Step 3: Cross multiply
   172,884x = 359,538 × 359,538
4. Step 4: Simplify right side
   172,884x = 129,267,573,444
5. Step 5: Solve for x
   x = 129,267,573,444/172,884
6. Step 6: Final answer
   x = 747,712.76